A Manual of Greek MathematicsClarendon Press, 1931 - 552 pagina's |
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Pagina 198
... shows that there was a standard proof of it current before Euclid's time . ( 4 ) Of all closed lines starting from a point , returning to it again and including a given area , the circumference of a circle is the shortest : this shows ...
... shows that there was a standard proof of it current before Euclid's time . ( 4 ) Of all closed lines starting from a point , returning to it again and including a given area , the circumference of a circle is the shortest : this shows ...
Pagina 207
... shows that the pseudo - Boëtius had a Latin transla- tion of Euclid from which he extracted these proofs . Moreover , the text of the definitions from Book I shows traces of correct readings which are not found even in the Greek MSS ...
... shows that the pseudo - Boëtius had a Latin transla- tion of Euclid from which he extracted these proofs . Moreover , the text of the definitions from Book I shows traces of correct readings which are not found even in the Greek MSS ...
Pagina 361
... shows that , if any other diameter than the original one be taken , the property of the curve with reference to the new diameter and the corresponding parameter is of the same form as it was with reference to the original diameter and ...
... shows that , if any other diameter than the original one be taken , the property of the curve with reference to the new diameter and the corresponding parameter is of the same form as it was with reference to the original diameter and ...
Inhoudsopgave
INTRODUCTORY 1 157 | 1 |
NUMERICAL NOTATION AND PRACTICAL CAL | 11 |
PYTHAGOREAN ARITHMETIC | 36 |
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Veelvoorkomende woorden en zinsdelen
according added algebra Apollonius appears Archimedes assumes base begins Book called centre circle cone conics construction contained corresponding cube curve cylinder definition described diameter Diophantus divided draw drawn earth edition Elements equal equation equivalent Euclid expression fact figure five follows four geometry given gives greater Greek height Heron included inscribed Join known latter lemmas length less mathematics means measure meet mentioned method moon multiplied namely observations obtained original Pappus parallel particular perpendicular plane polygon position problem produced proof Prop proportion propositions proved Ptolemy pyramid Pythagoreans radius ratio rectangle reference regarded regular relation represented respectively result right angles segment shows sides similar solid solution solved sphere square straight line Suppose surface theorem theory tion translation treatise triangle volume whole